There are 70 marbles in the bag. The bag has 37 green marbles, 24 red marbles, and 9 yellow marbles. Silas selects a marble from the bag 20 times, and of those he picks a green marble 13 times. What is the experimental probability of selecting a green marble? What is the theoretical probability of selecting a green marble?
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experimentally, it is clear that P(green) = 13/20
Theoretically, P(green) = 37/70 since there are 37 greens in a bag of 70
To calculate the experimental probability of selecting a green marble, you need to divide the number of times green marbles were selected (13 times) by the total number of marbles selected (20 times).
Experimental Probability = Number of green marbles selected / Total number of marbles selected
So, the experimental probability of selecting a green marble is:
Experimental Probability = 13 / 20
To calculate the theoretical probability of selecting a green marble, you need to divide the number of green marbles in the bag (37 green marbles) by the total number of marbles in the bag (70 marbles).
Theoretical Probability = Number of green marbles / Total number of marbles
So, the theoretical probability of selecting a green marble is:
Theoretical Probability = 37 / 70
Now, you can calculate both the experimental and theoretical probabilities of selecting a green marble.